Magneto-optics of monolayer and bilayer graphene

TL;DR

This paper analytically investigates the magneto-optical properties of monolayer and bilayer graphene, focusing on optical conductivities, transition rules, and Faraday rotation under magnetic fields, considering temperature and chemical potential effects.

Contribution

It provides analytical evaluations of dynamical conductivities and establishes links between transition frequencies and magneto-optical features in graphene.

Findings

Optical conductivity peaks explained by electron transitions.

Selection rule Δn=1 for Landau levels observed.

Calculated Faraday rotation and light transmission in magnetic fields.

Abstract

The optical conductivity of graphene and bilayer graphene in quantizing magnetic fields is studied. Both dynamical conductivities, longitudinal and Hall's, are analytically evaluated. The conductivity peaks are explained in terms of electron transitions. Correspondences between the transition frequencies and the magneto-optical features are established using the theoretical results. The main optical transitions obey the selection rule with $\Delta n=1$ for the Landau number $n$. The Faraday rotation and light transmission in the quantizing magnetic fields are calculated. The effects of temperatures and magnetic fields on the chemical potential are considered. \pacs{71.20.Nr, 78.20.Ci, 78.20.Bh}